Question

My friend has 3 less than twice the number of oranges I have. The ratio $\frac{\text{number of oranges I have}}{\text{number of oranges my friend has}}$ is equal to $\frac{2}{3}$. How many oranges do each of us have?

• A. Me - 6.
  My friend - 7.
• B. Me - 8.
  ​My friend - 12.
• C. Me - 6.
  ​My friend - 9.
• D. Me - 10.
  ​My friend - 15.

Answer 1

The correct option is C Me - 6.

​My friend - 9.
Let the number of oranges with me be x
Number of oranges with my friend = $2x-3$
$\frac{\text{number of oranges I have}}{\text{number of oranges my friend has}}$=$\frac{x}{2x-3}=\frac{2}{3}$
$3\times x=2\times (2x-3)$
$3x=4x-6$
$x=6$
So I have 6 oranges.
My friend has $2x-3=2\times 6-3=12-3=9$ oranges.